vel. 98, No. 10 748 MONTHLY WEATHER REVIEW suspicion that contrails may be influencing the weather and that it is important to find out if they are. In conclusion, it should be stated that if contrails are affecting the weather it is not necessarily for the worse, although if there is any considerable change it is sure to make someone unhappy. The Russians might well be pleased with an ice-free Arctic Ocean; but if it leads to a major glaciation in central Canada, it is unlikely that the Canadians and Americans would regard it as favorable. ACKNOWLEDGMENTS The writer wishes to acknowledge many discussions with Dr. Sue Ann Bowling whose contributions have been so significant as to nearly merit listing as a coauthor. The work upon which key points in this presentation are based was supported by Grants APOO 449-01, APOO 440-02, and APO 00449-03 from the National Center of Air Pollution Control, Public Health Service, Department of Health, Education, and Welfare. This work was partially sup- ported by Grant GA-19475, Atmospheric Sciences Section, Na- tional Science Foundation. REFERENCES Appleman, Herbert S., “The Formation of Exhaust Condensation Trails by Jet Aircraft,” Bulletin of the American Meteorological Society, Vol. 34, No. 1, Jan. 1953, pp. 14-20. Blanchard, D. C., “A Verification of the Baily-Dorsey Theory of Spicule Formation on Sleet Pellets,” Journal of Meteorology, Braham, Roscoe R., Jr., and Spyers-Duran, Paul A., “Survival of Cirrus Crystals in Clear Air,” Journal of Applied Meteorology, Vol. 6, No. 6, Dec. 1967, pp. 1053-1061. Fletcher, J. O., “The Heat Budget of the Arctic Basin and Its Rela- tion to Climate,” Report R-444-PR, The Rand Corporation, Santa Monica, Calif., Oct. 1965, 179 pp. Fletcher, J. O., “Managing Climatic Resources,” Paper P-4000-1, The Rand Corporation, Santa Monica, Calif., Mar. 9969, 27 pp. Huffman, Paul J., “Size Distribution of Ice Fog Particles,” M.S. thesis, University of Alaska, College, Alaska, 1968, 93 pp. Livingston, W. C., “Aircraft and Cloud Formation,” Weather, Vol. 24, No. 2, Feb. 1969, pp. 56-61. Ohtake, Takeshi, “Alaskan Ice Fog,” Proceedings of the Interna- tional Conference on Low Temperature, Sapporo, Japan, August 14- 19, 1966, Hakkaido University, Sapporo, Japan, 1967, pp. Reinking, Roger F., “Insolation Reduction by Contrails,” Weather, vol. 23, No. 4, Apr. 9968, pp. 171-173. Schaefer, Vincent J., “The Inadvertent Modification of the Atmos- phere by Air Pollution,” Bulletin of the American Meteorological Society, Vol. 50, No. 4, Apr. 1969, pp. 199-206. Thuman, William C., and Robinson, Elmer, “Studies of Alaskan Ice-Fog Particles,” Journal of Meteorology, Vol. 11, No. 2, Apr. Vol. 8, NO. 4, Aug. 1951, pp. 268-269. 105-118. 1954, pp. 151-156. [Received December 22,1963; revised March 23,1970] CORRESPONDENCE UD C 551.501.81: 5.51.508.85: 621.396.969.181.3 Effect of Range on Apparent Height and Frequency of High- AI ti tude Radar Precipitation Echoes A. I. KANTOR and Q. D. GRANTHAM Air Force Cambridge Research Laboratories, Bedford, Mass. As coauthors of the captioned Monthly Weather Review article (Vol. 97, No. 6, June 1969, pp. 429-431), we welcome this opportunity to restate some of our findings so that possible misinterpretation by interested readers may be avoided. Our conclusion concerning echo altitude and frequency of occurrence due to range effects should state that the net or resulting errors due to range are insignificant rather than the errors are insignificant. The individual errors can be substantial, as mentioned in our paper, and as pointed out in a private communication from Dr. D. Atlas, Director of the Laboratory for Atmospheric Probing at the University of Chicago. We agree, for example, that there is a balancing effect between the increasing width of the beam with range that tends t o increase the altitude of reported tops and the beam-width averaging or filling effect that decreases the average reflectivity of the top region with range. Also, height errors obviously depend on reflectivity and its height profile, so that, as Dr. Atlas emphasizes, serious over- estimates of precipitation echo tops may occur when the edges or side lobes of the beam detect sufficient reflectivity from below. That such false echoes may occasionally enter the records despite operational procedures and professional manpower as used in the WSR-57 network underscores the fact that reflectivity is a vital factor in radar climatology of storm tops.